30738900 has 72 divisors (see below), whose sum is σ = 90133120. Its totient is φ = 8087040.

The previous prime is 30738881. The next prime is 30738901. The reversal of 30738900 is 983703.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30738901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23052 + ... + 24348.

Almost surely, 2^30738900 is an apocalyptic number.

30738900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30738900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45066560).

30738900 is an abundant number, since it is smaller than the sum of its proper divisors (59394220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30738900 is a wasteful number, since it uses less digits than its factorization.

30738900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 30738900 is about 5544.2673095730. The cubic root of 30738900 is about 313.2536264234.

The spelling of 30738900 in words is "thirty million, seven hundred thirty-eight thousand, nine hundred".